中文

多项式与多线性Hardy--Littlewood不等式:解析与数值方法

泛函分析 2018-04-02 v2

摘要

我们研究多项式与多线性Hardy--Littlewood不等式的增长。采用了解析与数值方法,特别地,在其他结果中,我们表明对Clarkson不等式已知最佳常数的简单应用改进了Araujo等人最近的结果。我们还得到了某些特殊情况下广义Hardy--Littlewood不等式的最优常数。

关键词

引用

@article{arxiv.1503.00618,
  title  = {Polynomial and multilinear Hardy--Littlewood inequalities: analytical and numerical approaches},
  author = {J. Campos and W. Cavalcante and V. Fávaro and D. Nuñez-Alarcón and D. Pellegrino and D. M. Serrano-Rodríguez},
  journal= {arXiv preprint arXiv:1503.00618},
  year   = {2018}
}

备注

The title was modified. The computer-assisted part of the previous version is now fixed and this new version has a new section which corresponds to the arXiv submission 1504.04207. The arXiv submission 1504.04207 does not exist as an independent paper and now is part of the present paper